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What is the Least Common Multiple of 69121 and 69132?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 69121 and 69132 is 4778472972.

LCM(69121,69132) = 4778472972

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Least Common Multiple of 69121 and 69132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69121 and 69132, than apply into the LCM equation.

GCF(69121,69132) = 1
LCM(69121,69132) = ( 69121 × 69132) / 1
LCM(69121,69132) = 4778472972 / 1
LCM(69121,69132) = 4778472972

Least Common Multiple (LCM) of 69121 and 69132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69121 and 69132. First we will calculate the prime factors of 69121 and 69132.

Prime Factorization of 69121

Prime factors of 69121 are 13, 409. Prime factorization of 69121 in exponential form is:

69121 = 132 × 4091

Prime Factorization of 69132

Prime factors of 69132 are 2, 3, 7, 823. Prime factorization of 69132 in exponential form is:

69132 = 22 × 31 × 71 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 69121 and 69132.

LCM(69121,69132) = 132 × 4091 × 22 × 31 × 71 × 8231
LCM(69121,69132) = 4778472972